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, Volume 55, Issue 1, pp 85–106 | Cite as

An appropriate business strategy for a sale item

  • Prasenjit Pramanik
  • Manas Kumar Maiti
  • Manoranjan Maiti
Application Article
  • 81 Downloads

Abstract

In this research work for first time a model has been proposed to find an appropriate business strategy for a seasonal sale/sale item. Here, an EOQ model for an item has been developed with selling price and time dependent demand under retailer promotional effort, where a wholesaler offers a conditional credit period to his/her retailer to boost the demand of the item to clear the end season stock. Here, it is assumed that, wholesaler offers a credit period to his/her retailer depending upon the order quantity. But retailer does not offer any credit to his/her customers. In this paper, the base demand decreases with increase of time and also no credit is available for the customers, so the base demand goes down. On the other hand, to maintain the base demand, the retailer introduced a promotional effort to boost the demand and also the less selling price increases the base demand. Due to the uncertainty of the different costs, related to the inventory control system, the proposed model also developed in imprecise environments i.e., in fuzzy, rough environments. The main purpose of this paper is to find the optimal order quantity for retailer in such a way that the profit is maximized. Under these considerations a particle swarm optimization algorithm is implemented to find the most appropriate business strategy. Here an approach is proposed which finds marketing decision of the fuzzy and rough models using credibility measure of a fuzzy event and trust measure of a rough event correspondingly, without transferring fuzzy/rough objective to any crisp equivalent. The models are illustrated with different numerical examples and some managerial insights are outlined.

Keywords

EOQ Decreasing time varying demand Promotional effort Trade credit PSO 

Notes

Acknowledgements

The authors are heartily thankful to the Honourable Reviewers and the Editor for their constructive comments to improve the quality of the paper. This research work is supported by University Grant Commission of India for Minor Research Project entitle “A study on the influence of promotional cost sharing, price discount and trade credit on channel profit/cost in multilevel supply chain under imprecise environment”.

References

  1. 1.
    Aggarwal, S.P., Jaggi, C.K.: Ordering policies of deteriorating items under permissible delay in payments. J. Oper. Res. Soc. 46, 658–662 (1995)CrossRefGoogle Scholar
  2. 2.
    Bhunia, A.K., Maiti, M.: An inventory model of deteriorating items with lot-size dependent replenishment cost and a linear trend in demand. Appl. Math. Model. 23(4), 301–308 (1999)CrossRefGoogle Scholar
  3. 3.
    Bose, S., Goswami, A., Chaudhuri, A., Chaudhuri, K.S.: An EOQ model for deteriorating items with linear time-dependent demand rate and shortages under inflation and time discounting. J. Oper. Res. Soc. 46, 771–782 (1995)CrossRefGoogle Scholar
  4. 4.
    Cardenas-Barron, L.E., Chung, K.J., Trevino-Garza, G.: Celebrating a century of the economic order quantity model in honor of Ford Whitman Harris. Int. J. Prod. Econ. 155, 1–7 (2014)CrossRefGoogle Scholar
  5. 5.
    Cardenas-Barron, L.E., Sana, S.S.: A production-inventory model for a two-echelon supply chain when demand is dependent on sales teams’ initiatives. Int. J. Prod. Econ. 155, 249–258 (2014)CrossRefGoogle Scholar
  6. 6.
    Cardenas-Barron, L.E., Sana, S.S.: Multi-item EOQ inventory model in a two-layer supply chain while demand varies with promotional effort. Appl. Math. Model. 39, 6725–6737 (2015)CrossRefGoogle Scholar
  7. 7.
    Chung, K.J., Liao, J.J.: Lot-size decisions under trade credit depending on the ordering quantity. Comput. Oper. Res. 31, 909–928 (2004)CrossRefGoogle Scholar
  8. 8.
    Das, P., De, S.K., Sana, S.S.: An EOQ model for time dependent backlogging over idle time: a step order fuzzy approach. Int. J. Appl. Comput. Math. 1, 171–185 (2015)CrossRefGoogle Scholar
  9. 9.
    De, S.K., Goswami, A., Sana, S.S.: An interpolating by pass to Pareto optimality in intuitionistic fuzzy technique for a EOQ model with time sensitive backlogging. Appl. Math. Comput. 230, 664–674 (2014)Google Scholar
  10. 10.
    De, S.K., Sana, S.S.: A multi-periods production-inventory model with capacity constraints for multi-manufacturers—a global optimality in intuitionistic fuzzy environment. Appl. Math. Comput. 242, 825–841 (2014)Google Scholar
  11. 11.
    De, S.K., Sana, S.S.: An EOQ model with backlogging. Int. J. Manag. Sci. Eng. Manag. 11, 143–154 (2016)Google Scholar
  12. 12.
    De, S.K., Sana, S.S.: An alternative fuzzy EOQ model with backlogging for selling price and promotional effort sensitive demand. Int. J. Appl. Comput. Math. 1, 69–86 (2015)CrossRefGoogle Scholar
  13. 13.
    De, S.K., Sana, S.S.: Backlogging EOQ model for promotional effort and selling price sensitive demand-an intuitionistic fuzzy approach. Ann. Oper. Res. 233(1), 57–76 (2015)CrossRefGoogle Scholar
  14. 14.
    De, S.K., Sana, S.S.: Fuzzy order quantity inventory model with fuzzy shortage quantity and fuzzy promotional index. Econ. Model. 31, 351–358 (2013)CrossRefGoogle Scholar
  15. 15.
    Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, NewYork (1980)Google Scholar
  16. 16.
    Goyal, S.K.: Economic order quantity under conditions of permissible delay in payment. J. Oper. Res. Soc. 36, 335–338 (1985)CrossRefGoogle Scholar
  17. 17.
    Guchhait, P., Maiti, M.K., Maiti, M.: Multi-item inventory model of breakable items with stock-dependent demand under stock and time dependent breakability rate. Comput. Ind. Eng. 59, 911–920 (2010)CrossRefGoogle Scholar
  18. 18.
    Guchhait, P., Maiti, M.K., Maiti, M.: Inventory model of a deteriorating item with price and credit linked fuzzy demand : a fuzzy differential equation approach. OPSEARCH 51, 321–353 (2014)CrossRefGoogle Scholar
  19. 19.
    Guchhait, P., Maiti, M.K., Maiti, M.: An EOQ model of deteriorating item in imprecise environment with dynamic deterioration and credit linked demand. Appl. Math. Model. 39, 6553–6567 (2015)CrossRefGoogle Scholar
  20. 20.
    Ho, C.H.: The optimal integrated inventory policy with price-and-credit linked demand under two-level trade credit. Comput. Ind. Eng. 60, 117–126 (2011)CrossRefGoogle Scholar
  21. 21.
    Huang, Y.F.: Optimal retailers ordering policies in the EOQ model under trade credit financing. J. Oper. Res. Soc. 54, 1011–1015 (2003)CrossRefGoogle Scholar
  22. 22.
    Jaggi, C.K., Goyal, S.K., Goel, S.K.: Retailers optimal replenishment decisions with credit-linked demand under permissible delay in payments. Eur. J. Oper. Res. 190, 130–135 (2008)CrossRefGoogle Scholar
  23. 23.
    Khanra, S., Mandal, B., Sarkar, B.: An inventory model with time dependent demand and shortages under trade credit policy. Econ. Model. 35, 349–355 (2013)CrossRefGoogle Scholar
  24. 24.
    Kumari, M., Pakkala, T.P.M.: Inventory policy for deteriorating items under trade credit when time of payment is uncertain. OPSEARCH 53, 178–196 (2016)CrossRefGoogle Scholar
  25. 25.
    Kundu, A., Guchhait, P., Pramanik, P., Maiti, M.K., Maiti, M.: A production inventory model with price discounted fuzzy demand using an interval compared hybrid algorithm. Swarm Evolut. Comput. (2016). doi: 10.1016/j.swevo.2016.11.004
  26. 26.
    Liu, B.: Theory and Practice of Uncertain Programming. Phsica-Verlag, Heidelberg (2002)CrossRefGoogle Scholar
  27. 27.
    Mahata, G.C., De, S.: An EOQ inventory system of ameliorating items for price dependent demand rate under retailer partial trade credit policy. OPSEARCH 53(4), 889–916 (2016)CrossRefGoogle Scholar
  28. 28.
    Maiti, M.K., Maiti, M.: Two-storage inventory model with lot-size dependent fuzzy lead-time under possibility constraints via genetic algorithm. Eur. J. Oper. Res. 179, 352–371 (2007)CrossRefGoogle Scholar
  29. 29.
    Maiti, M.K.: A fuzzy genetic algorithm with varying population size to solve an inventory model with credit-linked promotional demand in an imprecise planning horizon. Eur. J. Oper. Res. 213, 96–106 (2011)CrossRefGoogle Scholar
  30. 30.
    Min, J., Zhou, Y.W., Zhao, J.: An inventory model for deteriorating items under stock dependent demand and two-level trade credit. Appl. Math. Model. 34, 3273–3285 (2010)CrossRefGoogle Scholar
  31. 31.
    Ouyang, L.Y., Teng, J.T., Goyal, S.K., Yang, C.T.: An economic order quantity model for deteriorating items with partially permissible delay in payments to order quantity. Eur. J. Oper. Res. 194, 418–431 (2009)CrossRefGoogle Scholar
  32. 32.
    Pal, B., Sana, S.S., Chaudhuri, K.: Coordination contracts for competitive two-echelon supply chain with price and promotional effort sensitive non-linear demand. Int. J. Syst. Sci.: Oper. Logist. 2(2), 113–124 (2015)Google Scholar
  33. 33.
    Pal, B., Sana, S.S., Chaudhuri, K.: Two-echelon competitive integrated supply chain model with price and credit period dependent demand. Int. J. Syst. Sci. 47(5), 995–1007 (2014)CrossRefGoogle Scholar
  34. 34.
    Pawlak, Z.: Rough sets. Int. J Inf. Comput. Sci. 11, 341–356 (1982)CrossRefGoogle Scholar
  35. 35.
    Shah, N.H., Vaghela, C.R.: Economic order quantity for deteriorating items under inflation with time and advertisement dependent demand. OPSEARCH. (2016). doi: 10.1007/s12597-016-0274-5
  36. 36.
    Sana, S.S., Panda, S.: Optimal sales team’s initiatives and pricing of pharmaceutical products. Int. J. Syst. Sci.: Oper. Logist. 2(3), 168–176 (2015)Google Scholar
  37. 37.
    Sarkar, B., Saren, S., Wee, H.-M.: An inventory model with variable demand, component cost and selling price for deteriorating items. Econ. Model. 30, 306–310 (2013)CrossRefGoogle Scholar
  38. 38.
    Taleizadeh, A.A., Kalantari, S.S., Cardenas-Barron, L.E.: Determining optimal price, replenishment lot size and number of shipments for an EPQ model with rework and multiple shipments. J Ind. Manag. Optim. 11(4), 1059–1071 (2015)CrossRefGoogle Scholar
  39. 39.
    Taleizadeh, A.A., Kalantari, S.S., Cardenas-Barron, L.E.: Pricing and lot sizing for an EPQ inventory model with rework and multiple shipments. TOP 24, 143–155 (2016)CrossRefGoogle Scholar
  40. 40.
    Taleizadeh, A.A., Noori-daryan, M., Cardenas-Barron, L.E.: Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items. Int. J. Prod. Econ. 159, 285–295 (2015)CrossRefGoogle Scholar
  41. 41.
    Wee, H.M., Lo, C.C., Hsu, P.H.: A multi-objective joint replenishment inventory model of deteriorated items in a fuzzy environment. Eur. J. Oper. Res. 197, 620–631 (2009)CrossRefGoogle Scholar
  42. 42.
    Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 1, 3–28 (1978)CrossRefGoogle Scholar

Copyright information

© Operational Research Society of India 2017

Authors and Affiliations

  • Prasenjit Pramanik
    • 1
  • Manas Kumar Maiti
    • 2
  • Manoranjan Maiti
    • 1
  1. 1.Department of Applied Mathematics with Oceanology and Computer ProgrammingVidyasagar UniversityMidnapore, Paschim MedinipurIndia
  2. 2.Department of MathematicsMahishadal Raj CollegeMahishadal, Purba-MedinipurIndia

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